What is the Greatest Common Factor of 80624 and 80629?

Greatest common factor (GCF) of 80624 and 80629 is 1.

GCF(80624,80629) = 1

We will now calculate the prime factors of 80624 and 80629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80624 and 80629.

How to find the GCF of 80624 and 80629?

We will first find the prime factorization of 80624 and 80629. After we will calculate the factors of 80624 and 80629 and find the biggest common factor number .

Step-1: Prime Factorization of 80624

Prime factors of 80624 are 2, 5039. Prime factorization of 80624 in exponential form is:

80624 = 2⁴ × 5039¹

Step-2: Prime Factorization of 80629

Prime factors of 80629 are 80629. Prime factorization of 80629 in exponential form is:

80629 = 80629¹

Step-3: Factors of 80624

List of positive integer factors of 80624 that divides 80624 without a remainder.

1, 2, 4, 8, 16, 5039, 10078, 20156, 40312

Step-4: Factors of 80629

List of positive integer factors of 80629 that divides 80624 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80624 and 80629. The biggest common factor number is the GCF number.
So the greatest common factor 80624 and 80629 is 1.

Also check out the Least Common Multiple of 80624 and 80629