What is the Greatest Common Factor of 37429 and 37436?

Greatest common factor (GCF) of 37429 and 37436 is 7.

GCF(37429,37436) = 7

We will now calculate the prime factors of 37429 and 37436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37429 and 37436.

How to find the GCF of 37429 and 37436?

We will first find the prime factorization of 37429 and 37436. After we will calculate the factors of 37429 and 37436 and find the biggest common factor number .

Step-1: Prime Factorization of 37429

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

37429 = 7¹ × 5347¹

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 37429

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

1, 7, 5347

Step-4: Factors of 37436

List of positive integer factors of 37436 that divides 37429 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 37429 and 37436. The biggest common factor number is the GCF number.
So the greatest common factor 37429 and 37436 is 7.

Also check out the Least Common Multiple of 37429 and 37436