What is the Greatest Common Factor of 37422 and 37429?

Greatest common factor (GCF) of 37422 and 37429 is 7.

GCF(37422,37429) = 7

We will now calculate the prime factors of 37422 and 37429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37422 and 37429.

How to find the GCF of 37422 and 37429?

We will first find the prime factorization of 37422 and 37429. After we will calculate the factors of 37422 and 37429 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 37429

Prime factors of 37429 are 7, 5347. Prime factorization of 37429 in exponential form is:

37429 = 7¹ × 5347¹

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 37429

List of positive integer factors of 37429 that divides 37422 without a remainder.

1, 7, 5347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37422 and 37429. The biggest common factor number is the GCF number.
So the greatest common factor 37422 and 37429 is 7.

Also check out the Least Common Multiple of 37422 and 37429