What is the Greatest Common Factor of 37417 and 37429?

Greatest common factor (GCF) of 37417 and 37429 is 1.

GCF(37417,37429) = 1

We will now calculate the prime factors of 37417 and 37429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37417 and 37429.

How to find the GCF of 37417 and 37429?

We will first find the prime factorization of 37417 and 37429. After we will calculate the factors of 37417 and 37429 and find the biggest common factor number .

Step-1: Prime Factorization of 37417

Prime factors of 37417 are 17, 31, 71. Prime factorization of 37417 in exponential form is:

37417 = 17¹ × 31¹ × 71¹

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 37417

List of positive integer factors of 37417 that divides 37417 without a remainder.

1, 17, 31, 71, 527, 1207, 2201

Step-4: Factors of 37429

List of positive integer factors of 37429 that divides 37417 without a remainder.

1, 7, 5347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37417 and 37429. The biggest common factor number is the GCF number.
So the greatest common factor 37417 and 37429 is 1.

Also check out the Least Common Multiple of 37417 and 37429