What is the Greatest Common Factor of 46952 and 46970?

Greatest common factor (GCF) of 46952 and 46970 is 2.

GCF(46952,46970) = 2

We will now calculate the prime factors of 46952 and 46970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46952 and 46970.

How to find the GCF of 46952 and 46970?

We will first find the prime factorization of 46952 and 46970. After we will calculate the factors of 46952 and 46970 and find the biggest common factor number .

Step-1: Prime Factorization of 46952

Prime factors of 46952 are 2, 5869. Prime factorization of 46952 in exponential form is:

46952 = 2³ × 5869¹

Step-2: Prime Factorization of 46970

Prime factors of 46970 are 2, 5, 7, 11, 61. Prime factorization of 46970 in exponential form is:

46970 = 2¹ × 5¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 46952

List of positive integer factors of 46952 that divides 46952 without a remainder.

1, 2, 4, 8, 5869, 11738, 23476

Step-4: Factors of 46970

List of positive integer factors of 46970 that divides 46952 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 61, 70, 77, 110, 122, 154, 305, 385, 427, 610, 671, 770, 854, 1342, 2135, 3355, 4270, 4697, 6710, 9394, 23485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46952 and 46970. The biggest common factor number is the GCF number.
So the greatest common factor 46952 and 46970 is 2.

Also check out the Least Common Multiple of 46952 and 46970