What is the Greatest Common Factor of 87132 and 87139?

Greatest common factor (GCF) of 87132 and 87139 is 1.

GCF(87132,87139) = 1

We will now calculate the prime factors of 87132 and 87139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87132 and 87139.

How to find the GCF of 87132 and 87139?

We will first find the prime factorization of 87132 and 87139. After we will calculate the factors of 87132 and 87139 and find the biggest common factor number .

Step-1: Prime Factorization of 87132

Prime factors of 87132 are 2, 3, 53, 137. Prime factorization of 87132 in exponential form is:

87132 = 2² × 3¹ × 53¹ × 137¹

Step-2: Prime Factorization of 87139

Prime factors of 87139 are 13, 6703. Prime factorization of 87139 in exponential form is:

87139 = 13¹ × 6703¹

Step-3: Factors of 87132

List of positive integer factors of 87132 that divides 87132 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 137, 159, 212, 274, 318, 411, 548, 636, 822, 1644, 7261, 14522, 21783, 29044, 43566

Step-4: Factors of 87139

List of positive integer factors of 87139 that divides 87132 without a remainder.

1, 13, 6703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87132 and 87139. The biggest common factor number is the GCF number.
So the greatest common factor 87132 and 87139 is 1.

Also check out the Least Common Multiple of 87132 and 87139