What is the Greatest Common Factor of 87614 and 87628?

Greatest common factor (GCF) of 87614 and 87628 is 2.

GCF(87614,87628) = 2

We will now calculate the prime factors of 87614 and 87628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87614 and 87628.

How to find the GCF of 87614 and 87628?

We will first find the prime factorization of 87614 and 87628. After we will calculate the factors of 87614 and 87628 and find the biggest common factor number .

Step-1: Prime Factorization of 87614

Prime factors of 87614 are 2, 71, 617. Prime factorization of 87614 in exponential form is:

87614 = 2¹ × 71¹ × 617¹

Step-2: Prime Factorization of 87628

Prime factors of 87628 are 2, 19, 1153. Prime factorization of 87628 in exponential form is:

87628 = 2² × 19¹ × 1153¹

Step-3: Factors of 87614

List of positive integer factors of 87614 that divides 87614 without a remainder.

1, 2, 71, 142, 617, 1234, 43807

Step-4: Factors of 87628

List of positive integer factors of 87628 that divides 87614 without a remainder.

1, 2, 4, 19, 38, 76, 1153, 2306, 4612, 21907, 43814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87614 and 87628. The biggest common factor number is the GCF number.
So the greatest common factor 87614 and 87628 is 2.

Also check out the Least Common Multiple of 87614 and 87628