What is the Greatest Common Factor of 62066 and 62076?

Greatest common factor (GCF) of 62066 and 62076 is 2.

GCF(62066,62076) = 2

We will now calculate the prime factors of 62066 and 62076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62066 and 62076.

How to find the GCF of 62066 and 62076?

We will first find the prime factorization of 62066 and 62076. After we will calculate the factors of 62066 and 62076 and find the biggest common factor number .

Step-1: Prime Factorization of 62066

Prime factors of 62066 are 2, 31033. Prime factorization of 62066 in exponential form is:

62066 = 2¹ × 31033¹

Step-2: Prime Factorization of 62076

Prime factors of 62076 are 2, 3, 7, 739. Prime factorization of 62076 in exponential form is:

62076 = 2² × 3¹ × 7¹ × 739¹

Step-3: Factors of 62066

List of positive integer factors of 62066 that divides 62066 without a remainder.

1, 2, 31033

Step-4: Factors of 62076

List of positive integer factors of 62076 that divides 62066 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 739, 1478, 2217, 2956, 4434, 5173, 8868, 10346, 15519, 20692, 31038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62066 and 62076. The biggest common factor number is the GCF number.
So the greatest common factor 62066 and 62076 is 2.

Also check out the Least Common Multiple of 62066 and 62076