What is the Greatest Common Factor of 73624 and 73628?

Greatest common factor (GCF) of 73624 and 73628 is 4.

GCF(73624,73628) = 4

We will now calculate the prime factors of 73624 and 73628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73624 and 73628.

How to find the GCF of 73624 and 73628?

We will first find the prime factorization of 73624 and 73628. After we will calculate the factors of 73624 and 73628 and find the biggest common factor number .

Step-1: Prime Factorization of 73624

Prime factors of 73624 are 2, 9203. Prime factorization of 73624 in exponential form is:

73624 = 2³ × 9203¹

Step-2: Prime Factorization of 73628

Prime factors of 73628 are 2, 79, 233. Prime factorization of 73628 in exponential form is:

73628 = 2² × 79¹ × 233¹

Step-3: Factors of 73624

List of positive integer factors of 73624 that divides 73624 without a remainder.

1, 2, 4, 8, 9203, 18406, 36812

Step-4: Factors of 73628

List of positive integer factors of 73628 that divides 73624 without a remainder.

1, 2, 4, 79, 158, 233, 316, 466, 932, 18407, 36814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73624 and 73628. The biggest common factor number is the GCF number.
So the greatest common factor 73624 and 73628 is 4.

Also check out the Least Common Multiple of 73624 and 73628