What is the Greatest Common Factor of 1032 and 1050?

Greatest common factor (GCF) of 1032 and 1050 is 6.

GCF(1032,1050) = 6

We will now calculate the prime factors of 1032 and 1050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1032 and 1050.

How to find the GCF of 1032 and 1050?

We will first find the prime factorization of 1032 and 1050. After we will calculate the factors of 1032 and 1050 and find the biggest common factor number .

Step-1: Prime Factorization of 1032

Prime factors of 1032 are 2, 3, 43. Prime factorization of 1032 in exponential form is:

1032 = 2³ × 3¹ × 43¹

Step-2: Prime Factorization of 1050

Prime factors of 1050 are 2, 3, 5, 7. Prime factorization of 1050 in exponential form is:

1050 = 2¹ × 3¹ × 5² × 7¹

Step-3: Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516

Step-4: Factors of 1050

List of positive integer factors of 1050 that divides 1032 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1032 and 1050. The biggest common factor number is the GCF number.
So the greatest common factor 1032 and 1050 is 6.

Also check out the Least Common Multiple of 1032 and 1050