What is the Greatest Common Factor of 75362 and 75376?

Greatest common factor (GCF) of 75362 and 75376 is 14.

GCF(75362,75376) = 14

We will now calculate the prime factors of 75362 and 75376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75362 and 75376.

How to find the GCF of 75362 and 75376?

We will first find the prime factorization of 75362 and 75376. After we will calculate the factors of 75362 and 75376 and find the biggest common factor number .

Step-1: Prime Factorization of 75362

Prime factors of 75362 are 2, 7, 769. Prime factorization of 75362 in exponential form is:

75362 = 2¹ × 7² × 769¹

Step-2: Prime Factorization of 75376

Prime factors of 75376 are 2, 7, 673. Prime factorization of 75376 in exponential form is:

75376 = 2⁴ × 7¹ × 673¹

Step-3: Factors of 75362

List of positive integer factors of 75362 that divides 75362 without a remainder.

1, 2, 7, 14, 49, 98, 769, 1538, 5383, 10766, 37681

Step-4: Factors of 75376

List of positive integer factors of 75376 that divides 75362 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 673, 1346, 2692, 4711, 5384, 9422, 10768, 18844, 37688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75362 and 75376. The biggest common factor number is the GCF number.
So the greatest common factor 75362 and 75376 is 14.

Also check out the Least Common Multiple of 75362 and 75376