What is the Greatest Common Factor of 8490 and 8510?
Greatest common factor (GCF) of 8490 and 8510 is 10.
GCF(8490,8510) = 10
We will now calculate the prime factors of 8490 and 8510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8490 and 8510.
How to find the GCF of 8490 and 8510?
We will first find the prime factorization of 8490 and 8510. After we will calculate the factors of 8490 and 8510 and find the biggest common factor number .
Step-1: Prime Factorization of 8490
Prime factors of 8490 are 2, 3, 5, 283. Prime factorization of 8490 in exponential form is:
8490 = 21 × 31 × 51 × 2831
Step-2: Prime Factorization of 8510
Prime factors of 8510 are 2, 5, 23, 37. Prime factorization of 8510 in exponential form is:
8510 = 21 × 51 × 231 × 371
Step-3: Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245
Step-4: Factors of 8510
List of positive integer factors of 8510 that divides 8490 without a remainder.
1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8490 and 8510. The biggest common factor number is the GCF number.
So the greatest common factor 8490 and 8510 is 10.
Also check out the Least Common Multiple of 8490 and 8510
Related Greatest Common Factors of 8490
- GCF of 8490 and 8494
- GCF of 8490 and 8495
- GCF of 8490 and 8496
- GCF of 8490 and 8497
- GCF of 8490 and 8498
- GCF of 8490 and 8499
- GCF of 8490 and 8500
- GCF of 8490 and 8501
- GCF of 8490 and 8502
- GCF of 8490 and 8503
- GCF of 8490 and 8504
- GCF of 8490 and 8505
- GCF of 8490 and 8506
- GCF of 8490 and 8507
- GCF of 8490 and 8508
- GCF of 8490 and 8509
- GCF of 8490 and 8510
Related Greatest Common Factors of 8510
- GCF of 8510 and 8514
- GCF of 8510 and 8515
- GCF of 8510 and 8516
- GCF of 8510 and 8517
- GCF of 8510 and 8518
- GCF of 8510 and 8519
- GCF of 8510 and 8520
- GCF of 8510 and 8521
- GCF of 8510 and 8522
- GCF of 8510 and 8523
- GCF of 8510 and 8524
- GCF of 8510 and 8525
- GCF of 8510 and 8526
- GCF of 8510 and 8527
- GCF of 8510 and 8528
- GCF of 8510 and 8529
- GCF of 8510 and 8530