What is the Greatest Common Factor of 37240 and 37252?

Greatest common factor (GCF) of 37240 and 37252 is 4.

GCF(37240,37252) = 4

We will now calculate the prime factors of 37240 and 37252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37240 and 37252.

How to find the GCF of 37240 and 37252?

We will first find the prime factorization of 37240 and 37252. After we will calculate the factors of 37240 and 37252 and find the biggest common factor number .

Step-1: Prime Factorization of 37240

Prime factors of 37240 are 2, 5, 7, 19. Prime factorization of 37240 in exponential form is:

37240 = 2³ × 5¹ × 7² × 19¹

Step-2: Prime Factorization of 37252

Prime factors of 37252 are 2, 67, 139. Prime factorization of 37252 in exponential form is:

37252 = 2² × 67¹ × 139¹

Step-3: Factors of 37240

List of positive integer factors of 37240 that divides 37240 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 49, 56, 70, 76, 95, 98, 133, 140, 152, 190, 196, 245, 266, 280, 380, 392, 490, 532, 665, 760, 931, 980, 1064, 1330, 1862, 1960, 2660, 3724, 4655, 5320, 7448, 9310, 18620

Step-4: Factors of 37252

List of positive integer factors of 37252 that divides 37240 without a remainder.

1, 2, 4, 67, 134, 139, 268, 278, 556, 9313, 18626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37240 and 37252. The biggest common factor number is the GCF number.
So the greatest common factor 37240 and 37252 is 4.

Also check out the Least Common Multiple of 37240 and 37252