What is the Greatest Common Factor of 1040 and 1050?

Greatest common factor (GCF) of 1040 and 1050 is 10.

GCF(1040,1050) = 10

We will now calculate the prime factors of 1040 and 1050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1040 and 1050.

How to find the GCF of 1040 and 1050?

We will first find the prime factorization of 1040 and 1050. After we will calculate the factors of 1040 and 1050 and find the biggest common factor number .

Step-1: Prime Factorization of 1040

Prime factors of 1040 are 2, 5, 13. Prime factorization of 1040 in exponential form is:

1040 = 2⁴ × 5¹ × 13¹

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 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520

Step-4: Factors of 1050

List of positive integer factors of 1050 that divides 1040 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 1040 and 1050. The biggest common factor number is the GCF number.
So the greatest common factor 1040 and 1050 is 10.

Also check out the Least Common Multiple of 1040 and 1050