What is the Greatest Common Factor of 83614 and 83628?

Greatest common factor (GCF) of 83614 and 83628 is 2.

GCF(83614,83628) = 2

We will now calculate the prime factors of 83614 and 83628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83614 and 83628.

How to find the GCF of 83614 and 83628?

We will first find the prime factorization of 83614 and 83628. After we will calculate the factors of 83614 and 83628 and find the biggest common factor number .

Step-1: Prime Factorization of 83614

Prime factors of 83614 are 2, 97, 431. Prime factorization of 83614 in exponential form is:

83614 = 2¹ × 97¹ × 431¹

Step-2: Prime Factorization of 83628

Prime factors of 83628 are 2, 3, 23, 101. Prime factorization of 83628 in exponential form is:

83628 = 2² × 3² × 23¹ × 101¹

Step-3: Factors of 83614

List of positive integer factors of 83614 that divides 83614 without a remainder.

1, 2, 97, 194, 431, 862, 41807

Step-4: Factors of 83628

List of positive integer factors of 83628 that divides 83614 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 101, 138, 202, 207, 276, 303, 404, 414, 606, 828, 909, 1212, 1818, 2323, 3636, 4646, 6969, 9292, 13938, 20907, 27876, 41814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83614 and 83628. The biggest common factor number is the GCF number.
So the greatest common factor 83614 and 83628 is 2.

Also check out the Least Common Multiple of 83614 and 83628