What is the Greatest Common Factor of 46970 and 46979?

Greatest common factor (GCF) of 46970 and 46979 is 1.

GCF(46970,46979) = 1

We will now calculate the prime factors of 46970 and 46979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46970 and 46979.

How to find the GCF of 46970 and 46979?

We will first find the prime factorization of 46970 and 46979. After we will calculate the factors of 46970 and 46979 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 46979

Prime factors of 46979 are 109, 431. Prime factorization of 46979 in exponential form is:

46979 = 109¹ × 431¹

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 46979

List of positive integer factors of 46979 that divides 46970 without a remainder.

1, 109, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46970 and 46979. The biggest common factor number is the GCF number.
So the greatest common factor 46970 and 46979 is 1.

Also check out the Least Common Multiple of 46970 and 46979