What is the Greatest Common Factor of 20069 and 20076?

Greatest common factor (GCF) of 20069 and 20076 is 7.

GCF(20069,20076) = 7

We will now calculate the prime factors of 20069 and 20076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20069 and 20076.

How to find the GCF of 20069 and 20076?

We will first find the prime factorization of 20069 and 20076. After we will calculate the factors of 20069 and 20076 and find the biggest common factor number .

Step-1: Prime Factorization of 20069

Prime factors of 20069 are 7, 47, 61. Prime factorization of 20069 in exponential form is:

20069 = 7¹ × 47¹ × 61¹

Step-2: 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-3: Factors of 20069

List of positive integer factors of 20069 that divides 20069 without a remainder.

1, 7, 47, 61, 329, 427, 2867

Step-4: Factors of 20076

List of positive integer factors of 20076 that divides 20069 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20069 and 20076. The biggest common factor number is the GCF number.
So the greatest common factor 20069 and 20076 is 7.

Also check out the Least Common Multiple of 20069 and 20076