What is the Greatest Common Factor of 70063 and 70077?

Greatest common factor (GCF) of 70063 and 70077 is 7.

GCF(70063,70077) = 7

We will now calculate the prime factors of 70063 and 70077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70063 and 70077.

How to find the GCF of 70063 and 70077?

We will first find the prime factorization of 70063 and 70077. After we will calculate the factors of 70063 and 70077 and find the biggest common factor number .

Step-1: Prime Factorization of 70063

Prime factors of 70063 are 7, 10009. Prime factorization of 70063 in exponential form is:

70063 = 7¹ × 10009¹

Step-2: Prime Factorization of 70077

Prime factors of 70077 are 3, 7, 47, 71. Prime factorization of 70077 in exponential form is:

70077 = 3¹ × 7¹ × 47¹ × 71¹

Step-3: Factors of 70063

List of positive integer factors of 70063 that divides 70063 without a remainder.

1, 7, 10009

Step-4: Factors of 70077

List of positive integer factors of 70077 that divides 70063 without a remainder.

1, 3, 7, 21, 47, 71, 141, 213, 329, 497, 987, 1491, 3337, 10011, 23359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70063 and 70077. The biggest common factor number is the GCF number.
So the greatest common factor 70063 and 70077 is 7.

Also check out the Least Common Multiple of 70063 and 70077