What is the Greatest Common Factor of 94738 and 94752?

Greatest common factor (GCF) of 94738 and 94752 is 14.

GCF(94738,94752) = 14

We will now calculate the prime factors of 94738 and 94752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94738 and 94752.

How to find the GCF of 94738 and 94752?

We will first find the prime factorization of 94738 and 94752. After we will calculate the factors of 94738 and 94752 and find the biggest common factor number .

Step-1: Prime Factorization of 94738

Prime factors of 94738 are 2, 7, 67, 101. Prime factorization of 94738 in exponential form is:

94738 = 2¹ × 7¹ × 67¹ × 101¹

Step-2: Prime Factorization of 94752

Prime factors of 94752 are 2, 3, 7, 47. Prime factorization of 94752 in exponential form is:

94752 = 2⁵ × 3² × 7¹ × 47¹

Step-3: Factors of 94738

List of positive integer factors of 94738 that divides 94738 without a remainder.

1, 2, 7, 14, 67, 101, 134, 202, 469, 707, 938, 1414, 6767, 13534, 47369

Step-4: Factors of 94752

List of positive integer factors of 94752 that divides 94738 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 47, 48, 56, 63, 72, 84, 94, 96, 112, 126, 141, 144, 168, 188, 224, 252, 282, 288, 329, 336, 376, 423, 504, 564, 658, 672, 752, 846, 987, 1008, 1128, 1316, 1504, 1692, 1974, 2016, 2256, 2632, 2961, 3384, 3948, 4512, 5264, 5922, 6768, 7896, 10528, 11844, 13536, 15792, 23688, 31584, 47376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94738 and 94752. The biggest common factor number is the GCF number.
So the greatest common factor 94738 and 94752 is 14.

Also check out the Least Common Multiple of 94738 and 94752