What is the Greatest Common Factor of 87474 and 87488?

Greatest common factor (GCF) of 87474 and 87488 is 2.

GCF(87474,87488) = 2

We will now calculate the prime factors of 87474 and 87488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87474 and 87488.

How to find the GCF of 87474 and 87488?

We will first find the prime factorization of 87474 and 87488. After we will calculate the factors of 87474 and 87488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87488

Prime factors of 87488 are 2, 1367. Prime factorization of 87488 in exponential form is:

87488 = 2⁶ × 1367¹

Step-3: Factors of 87474

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

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

Step-4: Factors of 87488

List of positive integer factors of 87488 that divides 87474 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1367, 2734, 5468, 10936, 21872, 43744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87474 and 87488. The biggest common factor number is the GCF number.
So the greatest common factor 87474 and 87488 is 2.

Also check out the Least Common Multiple of 87474 and 87488