What is the Greatest Common Factor of 19480 and 19500?
Greatest common factor (GCF) of 19480 and 19500 is 20.
GCF(19480,19500) = 20
We will now calculate the prime factors of 19480 and 19500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19480 and 19500.
How to find the GCF of 19480 and 19500?
We will first find the prime factorization of 19480 and 19500. After we will calculate the factors of 19480 and 19500 and find the biggest common factor number .
Step-1: Prime Factorization of 19480
Prime factors of 19480 are 2, 5, 487. Prime factorization of 19480 in exponential form is:
19480 = 23 × 51 × 4871
Step-2: Prime Factorization of 19500
Prime factors of 19500 are 2, 3, 5, 13. Prime factorization of 19500 in exponential form is:
19500 = 22 × 31 × 53 × 131
Step-3: Factors of 19480
List of positive integer factors of 19480 that divides 19480 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 487, 974, 1948, 2435, 3896, 4870, 9740
Step-4: Factors of 19500
List of positive integer factors of 19500 that divides 19480 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 125, 130, 150, 156, 195, 250, 260, 300, 325, 375, 390, 500, 650, 750, 780, 975, 1300, 1500, 1625, 1950, 3250, 3900, 4875, 6500, 9750
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 19480 and 19500. The biggest common factor number is the GCF number.
So the greatest common factor 19480 and 19500 is 20.
Also check out the Least Common Multiple of 19480 and 19500
Related Greatest Common Factors of 19480
- GCF of 19480 and 19484
- GCF of 19480 and 19485
- GCF of 19480 and 19486
- GCF of 19480 and 19487
- GCF of 19480 and 19488
- GCF of 19480 and 19489
- GCF of 19480 and 19490
- GCF of 19480 and 19491
- GCF of 19480 and 19492
- GCF of 19480 and 19493
- GCF of 19480 and 19494
- GCF of 19480 and 19495
- GCF of 19480 and 19496
- GCF of 19480 and 19497
- GCF of 19480 and 19498
- GCF of 19480 and 19499
- GCF of 19480 and 19500
Related Greatest Common Factors of 19500
- GCF of 19500 and 19504
- GCF of 19500 and 19505
- GCF of 19500 and 19506
- GCF of 19500 and 19507
- GCF of 19500 and 19508
- GCF of 19500 and 19509
- GCF of 19500 and 19510
- GCF of 19500 and 19511
- GCF of 19500 and 19512
- GCF of 19500 and 19513
- GCF of 19500 and 19514
- GCF of 19500 and 19515
- GCF of 19500 and 19516
- GCF of 19500 and 19517
- GCF of 19500 and 19518
- GCF of 19500 and 19519
- GCF of 19500 and 19520