What is the Greatest Common Factor of 10542 and 10552?

Greatest common factor (GCF) of 10542 and 10552 is 2.

GCF(10542,10552) = 2

We will now calculate the prime factors of 10542 and 10552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10542 and 10552.

How to find the GCF of 10542 and 10552?

We will first find the prime factorization of 10542 and 10552. After we will calculate the factors of 10542 and 10552 and find the biggest common factor number .

Step-1: Prime Factorization of 10542

Prime factors of 10542 are 2, 3, 7, 251. Prime factorization of 10542 in exponential form is:

10542 = 2¹ × 3¹ × 7¹ × 251¹

Step-2: Prime Factorization of 10552

Prime factors of 10552 are 2, 1319. Prime factorization of 10552 in exponential form is:

10552 = 2³ × 1319¹

Step-3: Factors of 10542

List of positive integer factors of 10542 that divides 10542 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 251, 502, 753, 1506, 1757, 3514, 5271

Step-4: Factors of 10552

List of positive integer factors of 10552 that divides 10542 without a remainder.

1, 2, 4, 8, 1319, 2638, 5276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10542 and 10552. The biggest common factor number is the GCF number.
So the greatest common factor 10542 and 10552 is 2.

Also check out the Least Common Multiple of 10542 and 10552