What is the Greatest Common Factor of 46949 and 46956?

Greatest common factor (GCF) of 46949 and 46956 is 7.

GCF(46949,46956) = 7

We will now calculate the prime factors of 46949 and 46956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46949 and 46956.

How to find the GCF of 46949 and 46956?

We will first find the prime factorization of 46949 and 46956. After we will calculate the factors of 46949 and 46956 and find the biggest common factor number .

Step-1: Prime Factorization of 46949

Prime factors of 46949 are 7, 19, 353. Prime factorization of 46949 in exponential form is:

46949 = 7¹ × 19¹ × 353¹

Step-2: 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-3: Factors of 46949

List of positive integer factors of 46949 that divides 46949 without a remainder.

1, 7, 19, 133, 353, 2471, 6707

Step-4: Factors of 46956

List of positive integer factors of 46956 that divides 46949 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46949 and 46956. The biggest common factor number is the GCF number.
So the greatest common factor 46949 and 46956 is 7.

Also check out the Least Common Multiple of 46949 and 46956