What is the Greatest Common Factor of 75372 and 75383?

Greatest common factor (GCF) of 75372 and 75383 is 11.

GCF(75372,75383) = 11

We will now calculate the prime factors of 75372 and 75383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75372 and 75383.

How to find the GCF of 75372 and 75383?

We will first find the prime factorization of 75372 and 75383. After we will calculate the factors of 75372 and 75383 and find the biggest common factor number .

Step-1: Prime Factorization of 75372

Prime factors of 75372 are 2, 3, 11, 571. Prime factorization of 75372 in exponential form is:

75372 = 2² × 3¹ × 11¹ × 571¹

Step-2: Prime Factorization of 75383

Prime factors of 75383 are 7, 11, 89. Prime factorization of 75383 in exponential form is:

75383 = 7¹ × 11² × 89¹

Step-3: Factors of 75372

List of positive integer factors of 75372 that divides 75372 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 571, 1142, 1713, 2284, 3426, 6281, 6852, 12562, 18843, 25124, 37686

Step-4: Factors of 75383

List of positive integer factors of 75383 that divides 75372 without a remainder.

1, 7, 11, 77, 89, 121, 623, 847, 979, 6853, 10769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75372 and 75383. The biggest common factor number is the GCF number.
So the greatest common factor 75372 and 75383 is 11.

Also check out the Least Common Multiple of 75372 and 75383