What is the Greatest Common Factor of 67492 and 67510?

Greatest common factor (GCF) of 67492 and 67510 is 2.

GCF(67492,67510) = 2

We will now calculate the prime factors of 67492 and 67510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67492 and 67510.

How to find the GCF of 67492 and 67510?

We will first find the prime factorization of 67492 and 67510. After we will calculate the factors of 67492 and 67510 and find the biggest common factor number .

Step-1: Prime Factorization of 67492

Prime factors of 67492 are 2, 47, 359. Prime factorization of 67492 in exponential form is:

67492 = 2² × 47¹ × 359¹

Step-2: Prime Factorization of 67510

Prime factors of 67510 are 2, 5, 43, 157. Prime factorization of 67510 in exponential form is:

67510 = 2¹ × 5¹ × 43¹ × 157¹

Step-3: Factors of 67492

List of positive integer factors of 67492 that divides 67492 without a remainder.

1, 2, 4, 47, 94, 188, 359, 718, 1436, 16873, 33746

Step-4: Factors of 67510

List of positive integer factors of 67510 that divides 67492 without a remainder.

1, 2, 5, 10, 43, 86, 157, 215, 314, 430, 785, 1570, 6751, 13502, 33755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67492 and 67510. The biggest common factor number is the GCF number.
So the greatest common factor 67492 and 67510 is 2.

Also check out the Least Common Multiple of 67492 and 67510