What is the Greatest Common Factor of 7049 and 7063?

Greatest common factor (GCF) of 7049 and 7063 is 7.

GCF(7049,7063) = 7

We will now calculate the prime factors of 7049 and 7063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7049 and 7063.

How to find the GCF of 7049 and 7063?

We will first find the prime factorization of 7049 and 7063. After we will calculate the factors of 7049 and 7063 and find the biggest common factor number .

Step-1: Prime Factorization of 7049

Prime factors of 7049 are 7, 19, 53. Prime factorization of 7049 in exponential form is:

7049 = 7¹ × 19¹ × 53¹

Step-2: Prime Factorization of 7063

Prime factors of 7063 are 7, 1009. Prime factorization of 7063 in exponential form is:

7063 = 7¹ × 1009¹

Step-3: Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1, 7, 19, 53, 133, 371, 1007

Step-4: Factors of 7063

List of positive integer factors of 7063 that divides 7049 without a remainder.

1, 7, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7049 and 7063. The biggest common factor number is the GCF number.
So the greatest common factor 7049 and 7063 is 7.

Also check out the Least Common Multiple of 7049 and 7063