What is the Greatest Common Factor of 77458 and 77464?

Greatest common factor (GCF) of 77458 and 77464 is 2.

GCF(77458,77464) = 2

We will now calculate the prime factors of 77458 and 77464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77458 and 77464.

How to find the GCF of 77458 and 77464?

We will first find the prime factorization of 77458 and 77464. After we will calculate the factors of 77458 and 77464 and find the biggest common factor number .

Step-1: Prime Factorization of 77458

Prime factors of 77458 are 2, 38729. Prime factorization of 77458 in exponential form is:

77458 = 2¹ × 38729¹

Step-2: Prime Factorization of 77464

Prime factors of 77464 are 2, 23, 421. Prime factorization of 77464 in exponential form is:

77464 = 2³ × 23¹ × 421¹

Step-3: Factors of 77458

List of positive integer factors of 77458 that divides 77458 without a remainder.

1, 2, 38729

Step-4: Factors of 77464

List of positive integer factors of 77464 that divides 77458 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 421, 842, 1684, 3368, 9683, 19366, 38732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77458 and 77464. The biggest common factor number is the GCF number.
So the greatest common factor 77458 and 77464 is 2.

Also check out the Least Common Multiple of 77458 and 77464