What is the Greatest Common Factor of 77492 and 77506?

Greatest common factor (GCF) of 77492 and 77506 is 2.

GCF(77492,77506) = 2

We will now calculate the prime factors of 77492 and 77506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77492 and 77506.

How to find the GCF of 77492 and 77506?

We will first find the prime factorization of 77492 and 77506. After we will calculate the factors of 77492 and 77506 and find the biggest common factor number .

Step-1: Prime Factorization of 77492

Prime factors of 77492 are 2, 19373. Prime factorization of 77492 in exponential form is:

77492 = 2² × 19373¹

Step-2: Prime Factorization of 77506

Prime factors of 77506 are 2, 11, 13, 271. Prime factorization of 77506 in exponential form is:

77506 = 2¹ × 11¹ × 13¹ × 271¹

Step-3: Factors of 77492

List of positive integer factors of 77492 that divides 77492 without a remainder.

1, 2, 4, 19373, 38746

Step-4: Factors of 77506

List of positive integer factors of 77506 that divides 77492 without a remainder.

1, 2, 11, 13, 22, 26, 143, 271, 286, 542, 2981, 3523, 5962, 7046, 38753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77492 and 77506. The biggest common factor number is the GCF number.
So the greatest common factor 77492 and 77506 is 2.

Also check out the Least Common Multiple of 77492 and 77506