What is the Greatest Common Factor of 34624 and 34628?

Greatest common factor (GCF) of 34624 and 34628 is 4.

GCF(34624,34628) = 4

We will now calculate the prime factors of 34624 and 34628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34624 and 34628.

How to find the GCF of 34624 and 34628?

We will first find the prime factorization of 34624 and 34628. After we will calculate the factors of 34624 and 34628 and find the biggest common factor number .

Step-1: Prime Factorization of 34624

Prime factors of 34624 are 2, 541. Prime factorization of 34624 in exponential form is:

34624 = 2⁶ × 541¹

Step-2: Prime Factorization of 34628

Prime factors of 34628 are 2, 11, 787. Prime factorization of 34628 in exponential form is:

34628 = 2² × 11¹ × 787¹

Step-3: Factors of 34624

List of positive integer factors of 34624 that divides 34624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 541, 1082, 2164, 4328, 8656, 17312

Step-4: Factors of 34628

List of positive integer factors of 34628 that divides 34624 without a remainder.

1, 2, 4, 11, 22, 44, 787, 1574, 3148, 8657, 17314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34624 and 34628. The biggest common factor number is the GCF number.
So the greatest common factor 34624 and 34628 is 4.

Also check out the Least Common Multiple of 34624 and 34628