What is the Greatest Common Factor of 77624 and 77639?

Greatest common factor (GCF) of 77624 and 77639 is 1.

GCF(77624,77639) = 1

We will now calculate the prime factors of 77624 and 77639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77624 and 77639.

How to find the GCF of 77624 and 77639?

We will first find the prime factorization of 77624 and 77639. After we will calculate the factors of 77624 and 77639 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 77639

Prime factors of 77639 are 17, 4567. Prime factorization of 77639 in exponential form is:

77639 = 17¹ × 4567¹

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 77639

List of positive integer factors of 77639 that divides 77624 without a remainder.

1, 17, 4567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77624 and 77639. The biggest common factor number is the GCF number.
So the greatest common factor 77624 and 77639 is 1.

Also check out the Least Common Multiple of 77624 and 77639