What is the Greatest Common Factor of 66101 and 66120?

Greatest common factor (GCF) of 66101 and 66120 is 19.

GCF(66101,66120) = 19

We will now calculate the prime factors of 66101 and 66120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66101 and 66120.

How to find the GCF of 66101 and 66120?

We will first find the prime factorization of 66101 and 66120. After we will calculate the factors of 66101 and 66120 and find the biggest common factor number .

Step-1: Prime Factorization of 66101

Prime factors of 66101 are 7, 19, 71. Prime factorization of 66101 in exponential form is:

66101 = 7² × 19¹ × 71¹

Step-2: Prime Factorization of 66120

Prime factors of 66120 are 2, 3, 5, 19, 29. Prime factorization of 66120 in exponential form is:

66120 = 2³ × 3¹ × 5¹ × 19¹ × 29¹

Step-3: Factors of 66101

List of positive integer factors of 66101 that divides 66101 without a remainder.

1, 7, 19, 49, 71, 133, 497, 931, 1349, 3479, 9443

Step-4: Factors of 66120

List of positive integer factors of 66120 that divides 66101 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 29, 30, 38, 40, 57, 58, 60, 76, 87, 95, 114, 116, 120, 145, 152, 174, 190, 228, 232, 285, 290, 348, 380, 435, 456, 551, 570, 580, 696, 760, 870, 1102, 1140, 1160, 1653, 1740, 2204, 2280, 2755, 3306, 3480, 4408, 5510, 6612, 8265, 11020, 13224, 16530, 22040, 33060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66101 and 66120. The biggest common factor number is the GCF number.
So the greatest common factor 66101 and 66120 is 19.

Also check out the Least Common Multiple of 66101 and 66120