What is the Greatest Common Factor of 77624 and 77636?

Greatest common factor (GCF) of 77624 and 77636 is 4.

GCF(77624,77636) = 4

We will now calculate the prime factors of 77624 and 77636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77624 and 77636.

How to find the GCF of 77624 and 77636?

We will first find the prime factorization of 77624 and 77636. After we will calculate the factors of 77624 and 77636 and find the biggest common factor number .

Step-1: Prime Factorization of 77624

Prime factors of 77624 are 2, 31, 313. Prime factorization of 77624 in exponential form is:

77624 = 2³ × 31¹ × 313¹

Step-2: Prime Factorization of 77636

Prime factors of 77636 are 2, 13, 1493. Prime factorization of 77636 in exponential form is:

77636 = 2² × 13¹ × 1493¹

Step-3: Factors of 77624

List of positive integer factors of 77624 that divides 77624 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 313, 626, 1252, 2504, 9703, 19406, 38812

Step-4: Factors of 77636

List of positive integer factors of 77636 that divides 77624 without a remainder.

1, 2, 4, 13, 26, 52, 1493, 2986, 5972, 19409, 38818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77624 and 77636. The biggest common factor number is the GCF number.
So the greatest common factor 77624 and 77636 is 4.

Also check out the Least Common Multiple of 77624 and 77636