What is the Greatest Common Factor of 87454 and 87472?

Greatest common factor (GCF) of 87454 and 87472 is 2.

GCF(87454,87472) = 2

We will now calculate the prime factors of 87454 and 87472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87454 and 87472.

How to find the GCF of 87454 and 87472?

We will first find the prime factorization of 87454 and 87472. After we will calculate the factors of 87454 and 87472 and find the biggest common factor number .

Step-1: Prime Factorization of 87454

Prime factors of 87454 are 2, 73, 599. Prime factorization of 87454 in exponential form is:

87454 = 2¹ × 73¹ × 599¹

Step-2: Prime Factorization of 87472

Prime factors of 87472 are 2, 7, 11, 71. Prime factorization of 87472 in exponential form is:

87472 = 2⁴ × 7¹ × 11¹ × 71¹

Step-3: Factors of 87454

List of positive integer factors of 87454 that divides 87454 without a remainder.

1, 2, 73, 146, 599, 1198, 43727

Step-4: Factors of 87472

List of positive integer factors of 87472 that divides 87454 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 71, 77, 88, 112, 142, 154, 176, 284, 308, 497, 568, 616, 781, 994, 1136, 1232, 1562, 1988, 3124, 3976, 5467, 6248, 7952, 10934, 12496, 21868, 43736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87454 and 87472. The biggest common factor number is the GCF number.
So the greatest common factor 87454 and 87472 is 2.

Also check out the Least Common Multiple of 87454 and 87472