What is the Greatest Common Factor of 88374 and 88380?

Greatest common factor (GCF) of 88374 and 88380 is 6.

GCF(88374,88380) = 6

We will now calculate the prime factors of 88374 and 88380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88374 and 88380.

How to find the GCF of 88374 and 88380?

We will first find the prime factorization of 88374 and 88380. After we will calculate the factors of 88374 and 88380 and find the biggest common factor number .

Step-1: Prime Factorization of 88374

Prime factors of 88374 are 2, 3, 11, 13, 103. Prime factorization of 88374 in exponential form is:

88374 = 2¹ × 3¹ × 11¹ × 13¹ × 103¹

Step-2: Prime Factorization of 88380

Prime factors of 88380 are 2, 3, 5, 491. Prime factorization of 88380 in exponential form is:

88380 = 2² × 3² × 5¹ × 491¹

Step-3: Factors of 88374

List of positive integer factors of 88374 that divides 88374 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 103, 143, 206, 286, 309, 429, 618, 858, 1133, 1339, 2266, 2678, 3399, 4017, 6798, 8034, 14729, 29458, 44187

Step-4: Factors of 88380

List of positive integer factors of 88380 that divides 88374 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 491, 982, 1473, 1964, 2455, 2946, 4419, 4910, 5892, 7365, 8838, 9820, 14730, 17676, 22095, 29460, 44190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88374 and 88380. The biggest common factor number is the GCF number.
So the greatest common factor 88374 and 88380 is 6.

Also check out the Least Common Multiple of 88374 and 88380