What is the Greatest Common Factor of 88140 and 88144?

Greatest common factor (GCF) of 88140 and 88144 is 4.

GCF(88140,88144) = 4

We will now calculate the prime factors of 88140 and 88144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88140 and 88144.

How to find the GCF of 88140 and 88144?

We will first find the prime factorization of 88140 and 88144. After we will calculate the factors of 88140 and 88144 and find the biggest common factor number .

Step-1: Prime Factorization of 88140

Prime factors of 88140 are 2, 3, 5, 13, 113. Prime factorization of 88140 in exponential form is:

88140 = 2² × 3¹ × 5¹ × 13¹ × 113¹

Step-2: Prime Factorization of 88144

Prime factors of 88144 are 2, 7, 787. Prime factorization of 88144 in exponential form is:

88144 = 2⁴ × 7¹ × 787¹

Step-3: Factors of 88140

List of positive integer factors of 88140 that divides 88140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 113, 130, 156, 195, 226, 260, 339, 390, 452, 565, 678, 780, 1130, 1356, 1469, 1695, 2260, 2938, 3390, 4407, 5876, 6780, 7345, 8814, 14690, 17628, 22035, 29380, 44070

Step-4: Factors of 88144

List of positive integer factors of 88144 that divides 88140 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 787, 1574, 3148, 5509, 6296, 11018, 12592, 22036, 44072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88140 and 88144. The biggest common factor number is the GCF number.
So the greatest common factor 88140 and 88144 is 4.

Also check out the Least Common Multiple of 88140 and 88144