What is the Greatest Common Factor of 87514 and 87525?

Greatest common factor (GCF) of 87514 and 87525 is 1.

GCF(87514,87525) = 1

We will now calculate the prime factors of 87514 and 87525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87514 and 87525.

How to find the GCF of 87514 and 87525?

We will first find the prime factorization of 87514 and 87525. After we will calculate the factors of 87514 and 87525 and find the biggest common factor number .

Step-1: Prime Factorization of 87514

Prime factors of 87514 are 2, 7, 19, 47. Prime factorization of 87514 in exponential form is:

87514 = 2¹ × 7² × 19¹ × 47¹

Step-2: Prime Factorization of 87525

Prime factors of 87525 are 3, 5, 389. Prime factorization of 87525 in exponential form is:

87525 = 3² × 5² × 389¹

Step-3: Factors of 87514

List of positive integer factors of 87514 that divides 87514 without a remainder.

1, 2, 7, 14, 19, 38, 47, 49, 94, 98, 133, 266, 329, 658, 893, 931, 1786, 1862, 2303, 4606, 6251, 12502, 43757

Step-4: Factors of 87525

List of positive integer factors of 87525 that divides 87514 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 389, 1167, 1945, 3501, 5835, 9725, 17505, 29175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87514 and 87525. The biggest common factor number is the GCF number.
So the greatest common factor 87514 and 87525 is 1.

Also check out the Least Common Multiple of 87514 and 87525