What is the Greatest Common Factor of 20076 and 20085?

Greatest common factor (GCF) of 20076 and 20085 is 3.

GCF(20076,20085) = 3

We will now calculate the prime factors of 20076 and 20085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20076 and 20085.

How to find the GCF of 20076 and 20085?

We will first find the prime factorization of 20076 and 20085. After we will calculate the factors of 20076 and 20085 and find the biggest common factor number .

Step-1: Prime Factorization of 20076

Prime factors of 20076 are 2, 3, 7, 239. Prime factorization of 20076 in exponential form is:

20076 = 2² × 3¹ × 7¹ × 239¹

Step-2: Prime Factorization of 20085

Prime factors of 20085 are 3, 5, 13, 103. Prime factorization of 20085 in exponential form is:

20085 = 3¹ × 5¹ × 13¹ × 103¹

Step-3: Factors of 20076

List of positive integer factors of 20076 that divides 20076 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 239, 478, 717, 956, 1434, 1673, 2868, 3346, 5019, 6692, 10038

Step-4: Factors of 20085

List of positive integer factors of 20085 that divides 20076 without a remainder.

1, 3, 5, 13, 15, 39, 65, 103, 195, 309, 515, 1339, 1545, 4017, 6695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20076 and 20085. The biggest common factor number is the GCF number.
So the greatest common factor 20076 and 20085 is 3.

Also check out the Least Common Multiple of 20076 and 20085