What is the Greatest Common Factor of 46970 and 46984?

Greatest common factor (GCF) of 46970 and 46984 is 14.

GCF(46970,46984) = 14

We will now calculate the prime factors of 46970 and 46984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46970 and 46984.

How to find the GCF of 46970 and 46984?

We will first find the prime factorization of 46970 and 46984. After we will calculate the factors of 46970 and 46984 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46984

Prime factors of 46984 are 2, 7, 839. Prime factorization of 46984 in exponential form is:

46984 = 2³ × 7¹ × 839¹

Step-3: Factors of 46970

List of positive integer factors of 46970 that divides 46970 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

Step-4: Factors of 46984

List of positive integer factors of 46984 that divides 46970 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 839, 1678, 3356, 5873, 6712, 11746, 23492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46970 and 46984. The biggest common factor number is the GCF number.
So the greatest common factor 46970 and 46984 is 14.

Also check out the Least Common Multiple of 46970 and 46984