What is the Greatest Common Factor of 87465 and 87474?

Greatest common factor (GCF) of 87465 and 87474 is 3.

GCF(87465,87474) = 3

We will now calculate the prime factors of 87465 and 87474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87465 and 87474.

How to find the GCF of 87465 and 87474?

We will first find the prime factorization of 87465 and 87474. After we will calculate the factors of 87465 and 87474 and find the biggest common factor number .

Step-1: Prime Factorization of 87465

Prime factors of 87465 are 3, 5, 7, 17. Prime factorization of 87465 in exponential form is:

87465 = 3¹ × 5¹ × 7³ × 17¹

Step-2: Prime Factorization of 87474

Prime factors of 87474 are 2, 3, 61, 239. Prime factorization of 87474 in exponential form is:

87474 = 2¹ × 3¹ × 61¹ × 239¹

Step-3: Factors of 87465

List of positive integer factors of 87465 that divides 87465 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 49, 51, 85, 105, 119, 147, 245, 255, 343, 357, 595, 735, 833, 1029, 1715, 1785, 2499, 4165, 5145, 5831, 12495, 17493, 29155

Step-4: Factors of 87474

List of positive integer factors of 87474 that divides 87465 without a remainder.

1, 2, 3, 6, 61, 122, 183, 239, 366, 478, 717, 1434, 14579, 29158, 43737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87465 and 87474. The biggest common factor number is the GCF number.
So the greatest common factor 87465 and 87474 is 3.

Also check out the Least Common Multiple of 87465 and 87474