What is the Greatest Common Factor of 87507 and 87514?

Greatest common factor (GCF) of 87507 and 87514 is 7.

GCF(87507,87514) = 7

We will now calculate the prime factors of 87507 and 87514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87507 and 87514.

How to find the GCF of 87507 and 87514?

We will first find the prime factorization of 87507 and 87514. After we will calculate the factors of 87507 and 87514 and find the biggest common factor number .

Step-1: Prime Factorization of 87507

Prime factors of 87507 are 3, 7, 463. Prime factorization of 87507 in exponential form is:

87507 = 3³ × 7¹ × 463¹

Step-2: 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-3: Factors of 87507

List of positive integer factors of 87507 that divides 87507 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 463, 1389, 3241, 4167, 9723, 12501, 29169

Step-4: Factors of 87514

List of positive integer factors of 87514 that divides 87507 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87507 and 87514. The biggest common factor number is the GCF number.
So the greatest common factor 87507 and 87514 is 7.

Also check out the Least Common Multiple of 87507 and 87514