What is the Greatest Common Factor of 10700 and 10716?

Greatest common factor (GCF) of 10700 and 10716 is 4.

GCF(10700,10716) = 4

We will now calculate the prime factors of 10700 and 10716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10700 and 10716.

How to find the GCF of 10700 and 10716?

We will first find the prime factorization of 10700 and 10716. After we will calculate the factors of 10700 and 10716 and find the biggest common factor number .

Step-1: Prime Factorization of 10700

Prime factors of 10700 are 2, 5, 107. Prime factorization of 10700 in exponential form is:

10700 = 2² × 5² × 107¹

Step-2: Prime Factorization of 10716

Prime factors of 10716 are 2, 3, 19, 47. Prime factorization of 10716 in exponential form is:

10716 = 2² × 3¹ × 19¹ × 47¹

Step-3: Factors of 10700

List of positive integer factors of 10700 that divides 10700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 107, 214, 428, 535, 1070, 2140, 2675, 5350

Step-4: Factors of 10716

List of positive integer factors of 10716 that divides 10700 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 47, 57, 76, 94, 114, 141, 188, 228, 282, 564, 893, 1786, 2679, 3572, 5358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10700 and 10716. The biggest common factor number is the GCF number.
So the greatest common factor 10700 and 10716 is 4.

Also check out the Least Common Multiple of 10700 and 10716