What is the Greatest Common Factor of 87528 and 87545?

Greatest common factor (GCF) of 87528 and 87545 is 1.

GCF(87528,87545) = 1

We will now calculate the prime factors of 87528 and 87545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87528 and 87545.

How to find the GCF of 87528 and 87545?

We will first find the prime factorization of 87528 and 87545. After we will calculate the factors of 87528 and 87545 and find the biggest common factor number .

Step-1: Prime Factorization of 87528

Prime factors of 87528 are 2, 3, 7, 521. Prime factorization of 87528 in exponential form is:

87528 = 2³ × 3¹ × 7¹ × 521¹

Step-2: Prime Factorization of 87545

Prime factors of 87545 are 5, 17509. Prime factorization of 87545 in exponential form is:

87545 = 5¹ × 17509¹

Step-3: Factors of 87528

List of positive integer factors of 87528 that divides 87528 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 521, 1042, 1563, 2084, 3126, 3647, 4168, 6252, 7294, 10941, 12504, 14588, 21882, 29176, 43764

Step-4: Factors of 87545

List of positive integer factors of 87545 that divides 87528 without a remainder.

1, 5, 17509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87528 and 87545. The biggest common factor number is the GCF number.
So the greatest common factor 87528 and 87545 is 1.

Also check out the Least Common Multiple of 87528 and 87545