What is the Greatest Common Factor of 39220 and 39235?

Greatest common factor (GCF) of 39220 and 39235 is 5.

GCF(39220,39235) = 5

We will now calculate the prime factors of 39220 and 39235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39220 and 39235.

How to find the GCF of 39220 and 39235?

We will first find the prime factorization of 39220 and 39235. After we will calculate the factors of 39220 and 39235 and find the biggest common factor number .

Step-1: Prime Factorization of 39220

Prime factors of 39220 are 2, 5, 37, 53. Prime factorization of 39220 in exponential form is:

39220 = 2² × 5¹ × 37¹ × 53¹

Step-2: Prime Factorization of 39235

Prime factors of 39235 are 5, 7, 19, 59. Prime factorization of 39235 in exponential form is:

39235 = 5¹ × 7¹ × 19¹ × 59¹

Step-3: Factors of 39220

List of positive integer factors of 39220 that divides 39220 without a remainder.

1, 2, 4, 5, 10, 20, 37, 53, 74, 106, 148, 185, 212, 265, 370, 530, 740, 1060, 1961, 3922, 7844, 9805, 19610

Step-4: Factors of 39235

List of positive integer factors of 39235 that divides 39220 without a remainder.

1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39220 and 39235. The biggest common factor number is the GCF number.
So the greatest common factor 39220 and 39235 is 5.

Also check out the Least Common Multiple of 39220 and 39235