What is the Greatest Common Factor of 88495 and 88506?

Greatest common factor (GCF) of 88495 and 88506 is 11.

GCF(88495,88506) = 11

We will now calculate the prime factors of 88495 and 88506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88495 and 88506.

How to find the GCF of 88495 and 88506?

We will first find the prime factorization of 88495 and 88506. After we will calculate the factors of 88495 and 88506 and find the biggest common factor number .

Step-1: Prime Factorization of 88495

Prime factors of 88495 are 5, 11, 1609. Prime factorization of 88495 in exponential form is:

88495 = 5¹ × 11¹ × 1609¹

Step-2: Prime Factorization of 88506

Prime factors of 88506 are 2, 3, 11, 149. Prime factorization of 88506 in exponential form is:

88506 = 2¹ × 3³ × 11¹ × 149¹

Step-3: Factors of 88495

List of positive integer factors of 88495 that divides 88495 without a remainder.

1, 5, 11, 55, 1609, 8045, 17699

Step-4: Factors of 88506

List of positive integer factors of 88506 that divides 88495 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 149, 198, 297, 298, 447, 594, 894, 1341, 1639, 2682, 3278, 4023, 4917, 8046, 9834, 14751, 29502, 44253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88495 and 88506. The biggest common factor number is the GCF number.
So the greatest common factor 88495 and 88506 is 11.

Also check out the Least Common Multiple of 88495 and 88506