What is the Greatest Common Factor of 37029 and 37048?

Greatest common factor (GCF) of 37029 and 37048 is 1.

GCF(37029,37048) = 1

We will now calculate the prime factors of 37029 and 37048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37029 and 37048.

How to find the GCF of 37029 and 37048?

We will first find the prime factorization of 37029 and 37048. After we will calculate the factors of 37029 and 37048 and find the biggest common factor number .

Step-1: Prime Factorization of 37029

Prime factors of 37029 are 3, 12343. Prime factorization of 37029 in exponential form is:

37029 = 3¹ × 12343¹

Step-2: Prime Factorization of 37048

Prime factors of 37048 are 2, 11, 421. Prime factorization of 37048 in exponential form is:

37048 = 2³ × 11¹ × 421¹

Step-3: Factors of 37029

List of positive integer factors of 37029 that divides 37029 without a remainder.

1, 3, 12343

Step-4: Factors of 37048

List of positive integer factors of 37048 that divides 37029 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 421, 842, 1684, 3368, 4631, 9262, 18524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37029 and 37048. The biggest common factor number is the GCF number.
So the greatest common factor 37029 and 37048 is 1.

Also check out the Least Common Multiple of 37029 and 37048