What is the Greatest Common Factor of 37422 and 37436?

Greatest common factor (GCF) of 37422 and 37436 is 14.

GCF(37422,37436) = 14

We will now calculate the prime factors of 37422 and 37436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37422 and 37436.

How to find the GCF of 37422 and 37436?

We will first find the prime factorization of 37422 and 37436. After we will calculate the factors of 37422 and 37436 and find the biggest common factor number .

Step-1: Prime Factorization of 37422

Prime factors of 37422 are 2, 3, 7, 11. Prime factorization of 37422 in exponential form is:

37422 = 2¹ × 3⁵ × 7¹ × 11¹

Step-2: Prime Factorization of 37436

Prime factors of 37436 are 2, 7, 191. Prime factorization of 37436 in exponential form is:

37436 = 2² × 7² × 191¹

Step-3: Factors of 37422

List of positive integer factors of 37422 that divides 37422 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 81, 99, 126, 154, 162, 189, 198, 231, 243, 297, 378, 462, 486, 567, 594, 693, 891, 1134, 1386, 1701, 1782, 2079, 2673, 3402, 4158, 5346, 6237, 12474, 18711

Step-4: Factors of 37436

List of positive integer factors of 37436 that divides 37422 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 191, 196, 382, 764, 1337, 2674, 5348, 9359, 18718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37422 and 37436. The biggest common factor number is the GCF number.
So the greatest common factor 37422 and 37436 is 14.

Also check out the Least Common Multiple of 37422 and 37436