What is the Greatest Common Factor of 46956 and 46970?

Greatest common factor (GCF) of 46956 and 46970 is 14.

GCF(46956,46970) = 14

We will now calculate the prime factors of 46956 and 46970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46956 and 46970.

How to find the GCF of 46956 and 46970?

We will first find the prime factorization of 46956 and 46970. After we will calculate the factors of 46956 and 46970 and find the biggest common factor number .

Step-1: Prime Factorization of 46956

Prime factors of 46956 are 2, 3, 7, 13, 43. Prime factorization of 46956 in exponential form is:

46956 = 2² × 3¹ × 7¹ × 13¹ × 43¹

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 46956

List of positive integer factors of 46956 that divides 46956 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 43, 52, 78, 84, 86, 91, 129, 156, 172, 182, 258, 273, 301, 364, 516, 546, 559, 602, 903, 1092, 1118, 1204, 1677, 1806, 2236, 3354, 3612, 3913, 6708, 7826, 11739, 15652, 23478

Step-4: Factors of 46970

List of positive integer factors of 46970 that divides 46956 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 46956 and 46970. The biggest common factor number is the GCF number.
So the greatest common factor 46956 and 46970 is 14.

Also check out the Least Common Multiple of 46956 and 46970