What is the Greatest Common Factor of 88762 and 88776?

Greatest common factor (GCF) of 88762 and 88776 is 2.

GCF(88762,88776) = 2

We will now calculate the prime factors of 88762 and 88776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88762 and 88776.

How to find the GCF of 88762 and 88776?

We will first find the prime factorization of 88762 and 88776. After we will calculate the factors of 88762 and 88776 and find the biggest common factor number .

Step-1: Prime Factorization of 88762

Prime factors of 88762 are 2, 44381. Prime factorization of 88762 in exponential form is:

88762 = 2¹ × 44381¹

Step-2: Prime Factorization of 88776

Prime factors of 88776 are 2, 3, 137. Prime factorization of 88776 in exponential form is:

88776 = 2³ × 3⁴ × 137¹

Step-3: Factors of 88762

List of positive integer factors of 88762 that divides 88762 without a remainder.

1, 2, 44381

Step-4: Factors of 88776

List of positive integer factors of 88776 that divides 88762 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 137, 162, 216, 274, 324, 411, 548, 648, 822, 1096, 1233, 1644, 2466, 3288, 3699, 4932, 7398, 9864, 11097, 14796, 22194, 29592, 44388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88762 and 88776. The biggest common factor number is the GCF number.
So the greatest common factor 88762 and 88776 is 2.

Also check out the Least Common Multiple of 88762 and 88776