What is the Greatest Common Factor of 8494 and 8500?
Greatest common factor (GCF) of 8494 and 8500 is 2.
GCF(8494,8500) = 2
We will now calculate the prime factors of 8494 and 8500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8494 and 8500.
How to find the GCF of 8494 and 8500?
We will first find the prime factorization of 8494 and 8500. After we will calculate the factors of 8494 and 8500 and find the biggest common factor number .
Step-1: Prime Factorization of 8494
Prime factors of 8494 are 2, 31, 137. Prime factorization of 8494 in exponential form is:
8494 = 21 × 311 × 1371
Step-2: Prime Factorization of 8500
Prime factors of 8500 are 2, 5, 17. Prime factorization of 8500 in exponential form is:
8500 = 22 × 53 × 171
Step-3: Factors of 8494
List of positive integer factors of 8494 that divides 8494 without a remainder.
1, 2, 31, 62, 137, 274, 4247
Step-4: Factors of 8500
List of positive integer factors of 8500 that divides 8494 without a remainder.
1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8494 and 8500. The biggest common factor number is the GCF number.
So the greatest common factor 8494 and 8500 is 2.
Also check out the Least Common Multiple of 8494 and 8500
Related Greatest Common Factors of 8494
- GCF of 8494 and 8498
- GCF of 8494 and 8499
- GCF of 8494 and 8500
- GCF of 8494 and 8501
- GCF of 8494 and 8502
- GCF of 8494 and 8503
- GCF of 8494 and 8504
- GCF of 8494 and 8505
- GCF of 8494 and 8506
- GCF of 8494 and 8507
- GCF of 8494 and 8508
- GCF of 8494 and 8509
- GCF of 8494 and 8510
- GCF of 8494 and 8511
- GCF of 8494 and 8512
- GCF of 8494 and 8513
- GCF of 8494 and 8514
Related Greatest Common Factors of 8500
- GCF of 8500 and 8504
- GCF of 8500 and 8505
- GCF of 8500 and 8506
- GCF of 8500 and 8507
- GCF of 8500 and 8508
- GCF of 8500 and 8509
- GCF of 8500 and 8510
- GCF of 8500 and 8511
- GCF of 8500 and 8512
- GCF of 8500 and 8513
- GCF of 8500 and 8514
- GCF of 8500 and 8515
- GCF of 8500 and 8516
- GCF of 8500 and 8517
- GCF of 8500 and 8518
- GCF of 8500 and 8519
- GCF of 8500 and 8520