What is the Greatest Common Factor of 39053 and 39060?

Greatest common factor (GCF) of 39053 and 39060 is 7.

GCF(39053,39060) = 7

We will now calculate the prime factors of 39053 and 39060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39053 and 39060.

How to find the GCF of 39053 and 39060?

We will first find the prime factorization of 39053 and 39060. After we will calculate the factors of 39053 and 39060 and find the biggest common factor number .

Step-1: Prime Factorization of 39053

Prime factors of 39053 are 7, 797. Prime factorization of 39053 in exponential form is:

39053 = 7² × 797¹

Step-2: Prime Factorization of 39060

Prime factors of 39060 are 2, 3, 5, 7, 31. Prime factorization of 39060 in exponential form is:

39060 = 2² × 3² × 5¹ × 7¹ × 31¹

Step-3: Factors of 39053

List of positive integer factors of 39053 that divides 39053 without a remainder.

1, 7, 49, 797, 5579

Step-4: Factors of 39060

List of positive integer factors of 39060 that divides 39053 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 31, 35, 36, 42, 45, 60, 62, 63, 70, 84, 90, 93, 105, 124, 126, 140, 155, 180, 186, 210, 217, 252, 279, 310, 315, 372, 420, 434, 465, 558, 620, 630, 651, 868, 930, 1085, 1116, 1260, 1302, 1395, 1860, 1953, 2170, 2604, 2790, 3255, 3906, 4340, 5580, 6510, 7812, 9765, 13020, 19530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39053 and 39060. The biggest common factor number is the GCF number.
So the greatest common factor 39053 and 39060 is 7.

Also check out the Least Common Multiple of 39053 and 39060